1. Week 9 Ch 8, 1.Magnitude and phase response 2.Properties 3.Cascade and feedback composition

2. Week 9 Ch 8, 1.Magnitude and phase response 2.Properties 3.Cascade and feedback composition

3. 1. Magnitude and phase response

4. Examples

7.  

9.  

10. Week 9 Ch 8, 1.Magnitude and phase response 2.Properties 3.Cascade and feedback composition

11. 2 Properties

12. Corollary 1

13. So |H(ω)| is an even function of ω So  H(ω)| is an odd function of ω Corollary 2

15. Corollary 1

16. Corollary 2

17. Week 9 Ch 8, 1.Magnitude and phase response 2.Properties 3.Cascade and feedback composition

19. +

20. Increasing bandwidth by proportional negative feedback Suppose open loop frequency response is So 3 db bandwidth is given by

21. - The closed loop frequency response is whose 3 db bandwidth is